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Finding the Fourth Proportional to 318,234.42, 439,205.49 and 205,385.22

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Solution

The fourth proportional to 318,234.42, 439,205.49 and 205,385.22 is: 283,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,234.42 : 439,205.49 = 205,385.22 : x
  2. Step 2: Convert to fraction form
    318,234.42/439,205.49 = 205,385.22/x
  3. Step 3: Cross multiply
    318,234.42x = 439,205.49 × 205,385.22
  4. Step 4: Simplify right side
    318,234.42x = 90,206,316,188.86
  5. Step 5: Solve for x
    x = 90,206,316,188.86/318,234.42
  6. Step 6: Final answer
    x = 283,458.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.